PRP Records

Probable Primes Top 10000

(252932 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 50000) Who ? When ?
90012^196101-17559033Lelio R Paula04/2011
90022^196085+577559028Lelio R Paula05/2011
90032^196034+1171559013Lelio R Paula05/2011
90042^196018-1848559008Enzo Doria05/2013
90052^195984-216358998Yves Minet08/2013
90063^123645-1658994Lelio R Paula10/2012
900739^37078-3858994Norbert Schneider05/2014
90082^195958-1685358990Enzo Doria05/2013
90092^195930-307158981Yves Minet10/2014
90102^195924+51358980Lelio R Paula05/2011
90112^195863+15558961Lelio R Paula04/2011
9012(28*10^58956+113)/358957Robert Price03/2016
901311^56612-930058956Enzo Doria02/2013
90142^195833-1717358952Enzo Doria05/2013
9015(27*2^195833-1)/5358952Lelio R Paula01/2014
9016(13*2^195821-1)/12242558945Lelio R Paula01/2014
9017139^27504-13858942Norbert Schneider10/2015
9018a(222666)58929Robert Price05/2019
9019(418*10^58923+23)/958925Robert Price08/2017
90203^123495+4458923Lelio R Paula10/2012
90212^195737-1856558923Enzo Doria05/2013
902279185!6-1658921Robert Price08/2018
902314^51407+4758920Lelio R Paula03/2013
90242^195691-9958909Lelio R Paula04/2011
90252^195667-185982758902Enzo Doria04/2016
90272^195642+7549958895Enzo Doria04/2016
9026(299*10^58893+1)/358895Robert Price11/2017
90288*6^75678+558890Lelio R Paula09/2014
902914222^13827+13827^1422258890Hans Havermann05/2019
90312^195618+7318958887Enzo Doria04/2016
9030(3928^20480+1)/(3928^4096+1)58887Serge Batalov01/2017
9032t(197953)58881Robert Price12/2014
90332^195581-1610558876Enzo Doria04/2013
9034(8*10^58872+67)/358873Robert Price01/2017
90357*2^195542-558865Lelio R Paula03/2014
90362*10^58861+9^5886158862Mike Oakes04/2011
903711^56513-162058853Enzo Doria11/2012
90382^195496+16558851Lelio R Paula04/2011
90395^84187+6658845Lelio R Paula10/2012
90402^195478-499158845Yves Minet05/2019
9041(28*10^58843-43)/358844Robert Price04/2016
90422^195462-1756558840Enzo Doria05/2013
90432^195449-417158837Yves Minet02/2018
90442^195435+5927358832Yves Minet01/2011
90452^195424-1860558829Enzo Doria05/2013
904610295^14658-14658^1029558818Norbert Schneider03/2019
90472^195385-11158817Lelio R Paula04/2011
90487*10^58815-8358816Robert Price09/2017
904910130^14683-14683^1013058815Norbert Schneider03/2019
90502^195357-430358809Yves Minet08/2018
905114218^13631+13631^1421858785Hans Havermann05/2019
9052(47*2^195254+1)/26882158774Lelio R Paula03/2015
90532^195207-1810958764Enzo Doria05/2013
90542^195199-156758761Yves Minet08/2012
90552^195190+7375958759Enzo Doria04/2016
90569*7^69525-458757Lelio R Paula09/2014
90572^195170-1804558753Enzo Doria05/2013
90582^195166-16558751Lelio R Paula04/2011
9059(754*10^58748-7)/958750Robert Price11/2017
9060(22699*2^195140+1)/17558746Lelio R Paula05/2014
90617*3^123109-258739Lelio R Paula04/2014
9062(8*10^58738-611)/958738Robert Price11/2017
906318^46790+7758735Lelio R Paula03/2013
90652^195095-33729758730Gary Barnes09/2009
9064(14*10^58729+31)/958730Robert Price02/2015
906699^29424+9858720Norbert Schneider07/2013
9067(15185*2^195039-1)/21958715Lelio R Paula04/2015
90682^195001-6958702Lelio R Paula04/2011
90692^194978-48781158695Gary Barnes09/2009
9070163^26530+26530^16358690Serge Batalov05/2014
90712^194940-194940+158683Robert Price10/2014
9072(76*10^58669+41)/958670Robert Price10/2015
907314^51186+8758666Lelio R Paula03/2013
90742^194878-9730558665Lelio R Paula09/2011
90755^83927-1813658663Enzo Doria05/2014
9076(24737*2^194865+1)/108558662Lelio R Paula06/2014
90777^69411+4058660Lelio R Paula10/2012
90786^75382-7958659Lelio R Paula10/2012
90792^194854+2758657Lelio R Paula04/2011
90802^194801+2983558641Lelio R Paula10/2012
90812^194752+19558627Lelio R Paula04/2011
90827^69371-6^6937158626Predrag Minovic08/2004
90832^194747-11251958625Enzo Doria06/2014
9084(15*2^194737+1)/5958622Lelio R Paula07/2012
9085(23*2^194700+1)/358612Lelio R Paula02/2012
908610^58608+5527358609Patrick De Geest07/2017
908710^58608-80000158608Robert Price06/2017
908810^58608-6011958608Patrick De Geest07/2017
90895^83836+7658599Lelio R Paula10/2012
909018^46664+3158577Lelio R Paula03/2013
9091(34*10^58577-7)/9/19/46358574Makoto Morimoto04/2016
90922^194574+16558573Lelio R Paula04/2011
90952^194569-1221158572Enzo Doria06/2014
909310^58571+5^58571+2^5857158572Robert Price12/2016
909410^58571+20283758572Patrick De Geest02/2017
9096(10^58571+41)/358571Robert Price01/2017
909710^58571-34362958571Patrick De Geest02/2017
9098(43*10^58563-403)/958564Robert Price04/2017
909911^56235-795058563Enzo Doria02/2013
9100145^27095-14458563Norbert Schneider11/2018
91012^194505-461558552Yves Minet05/2019
9102(14*10^58550+211)/958551Robert Price11/2017
91032^194479-11323958545Enzo Doria07/2014
91042^194455-11224958537Enzo Doria06/2014
91052^194405-11191958522Enzo Doria05/2014
9106(4*10^58521-19)/358522Robert Price06/2017
9108(7^69247-4^69247)/358521Robert Price06/2012
91075*7^69246+858521Lelio R Paula09/2014
91092^194358-116758508Lelio R Paula05/2011
9110(2^194366+7)/137358507Lelio R Paula02/2012
911115091^7518+7518^1509158495Hans Havermann04/2019
911215852^4895+4895^1585258490Hans Havermann04/2019
9113(493*10^58486-7)/958488Robert Price07/2016
91143^122579-34058486Lelio R Paula10/2012
9115(11*10^58458-149)/358459Robert Price01/2017
9116(47*10^58456+133)/958457Robert Price04/2017
91172^194186+8558456Lelio R Paula04/2011
91183^122506-2^(122506-1)58451Robert Price01/2016
9119(74^31267-1)/7358444Paul Bourdelais08/2017
9120177^25998-258443Lelio R Paula10/2017
912115^49690-2658440Lelio R Paula03/2013
912210^58437+11072158438Patrick De Geest12/2012
912310^58437-1158437Robert Price05/2011
91242^194095+6958429Lelio R Paula04/2011
9125(29*10^58417-77)/358418Robert Price01/2017
91262^194034+17758411Lelio R Paula04/2011
9127789^20158+20158^78958400Norbert Schneider06/2016
912814^50949+7558395Lelio R Paula03/2013
91292^193974-11476158392Enzo Doria05/2015
91302^193965+558390Henri Lifchitz12/2002
9131(5*10^58384-29)/358385Robert Price02/2017
91323^122360+8058381Lelio R Paula10/2012
913310103^14577-11458373Enzo Doria07/2012
9134(22699*2^193883+1)/2158368Lelio R Paula06/2014
9135(31*2^193886+1)/14076558362Lelio R Paula07/2012
913611^56041-156058361Enzo Doria11/2012
9137(2^193881+9)/1769958360Lelio R Paula02/2012
91383^122313+5858359Lelio R Paula10/2012
91396^74996-11958359Lelio R Paula10/2012
9140(11*2^193859+1)/1358358Lelio R Paula07/2012
91412^193861-11225558358Enzo Doria06/2014
9142(22699*2^193854+1)/492758357Lelio R Paula06/2014
914318^46487+3758354Lelio R Paula03/2013
914417^47419+5458347Lelio R Paula03/2013
91452^193812-479958344Yves Minet05/2019
914615486^5851+5851^1548658340Hans Havermann04/2019
9147(31*2^193791+1)/358338Lelio R Paula02/2012
9148(27*2^193805-1)/98224958337Lelio R Paula01/2014
914914088^13825+13825^1408858334Hans Havermann04/2019
9150144^27025-14358330Norbert Schneider11/2018
915111900^14311-14311^1190058326Norbert Schneider05/2019
915215297^6494+6494^1529758321Hans Havermann04/2019
915316293^3794+3794^1629358315Hans Havermann04/2019
91543^122219-2^12221958314Mike Oakes09/2003
9155(199*10^58306+11)/358308Robert Price05/2017
91562^193674-1882558302Lelio R Paula05/2011
915714897^8172+8172^1489758282Hans Havermann04/2019
91585*10^58275+358276Dmitry Domanov11/2010
91592^193578-11291358273Enzo Doria06/2014
91602^193541+129958262Lelio R Paula05/2011
916110^58250+9358251Robert Price01/2011
916210^58250-17560758250Patrick De Geest12/2012
9163(107^28703+1)/10858248Richard Fischer05/2018
91642^193492+841558247Lelio R Paula10/2012
91652^193444+15758233Lelio R Paula04/2011
9166Phi(28754,28754)58231Henri Lifchitz08/2013
91672^193430-11188158229Enzo Doria05/2014
916810^58225+12457958226Patrick De Geest12/2012
916910^58225-9358225Robert Price05/2011
91702^193375-29558212Yves Minet05/2013
917114018^14037-14037^1401858208Norbert Schneider10/2018
91722^193345+7726758203Enzo Doria05/2016
917321^44017-20^4401758201Robert Price05/2012
9174(17*2^193329-1)/958199Lelio R Paula01/2014
917517^47291+2058190Lelio R Paula03/2013
9176p(12528)#/2-12858170Robert Price05/2017
91772^193214-13558164Lelio R Paula04/2011
917819^45483-8058162Lelio R Paula03/2013
9179(4*10^58155+83)/358156Robert Price01/2017
918114^50739-1358154Lelio R Paula03/2013
9180(1017*2^193184-1)/482358154Lelio R Paula04/2015
9182(2*10^58151+457)/958151Robert Price01/2017
9183(9179*2^193183-1)/399926787958149Lelio R Paula04/2015
918414555^9874+9874^1455558140Hans Havermann05/2019
9185(19*2^193114-1)/118675558129Lelio R Paula01/2014
91872^193091-123758127Yves Minet08/2012
91869*7^68780-258127Lelio R Paula09/2014
91882473^17130+17130^247358126Norbert Schneider10/2018
91892^193083-86968810558124Lelio R Paula10/2012
91902^193058-4558117Lelio R Paula04/2011
9191(14016^14016+14017^14017)/(23*7103*19913)58115David Broadhurst09/2009
919211^55795-4258105Lelio R Paula03/2013
91933^121779-1658104Lelio R Paula10/2012
9194(13*10^58103+191)/358104Robert Price08/2017
919515865^4594+4594^1586558101Hans Havermann05/2019
91962^192986+19558095Lelio R Paula04/2011
91977^68740+2*3^6874058093Mike Oakes07/2010
9198(85*10^58091-1)/358093Robert Price07/2017
9199(404*10^58087-53)/958089Robert Price11/2017
920012^53821+1158083Lelio R Paula02/2013
9201119^27979-11858072Norbert Schneider10/2013
920214380^10899+10899^1438058058Hans Havermann04/2019
9203(10223*2^192828+1)/24358049Lelio R Paula05/2014
92042^192808-112758041Yves Minet05/2013
9205(27*2^192803+1)/982758037Lelio R Paula07/2012
9206(2^192781+lucasV(1,2,192781)+1)/458033Mike Oakes11/2016
92073*10^58032-2358033Robert Price11/2017
92082^192678+7294358002Enzo Doria04/2016
9209(13*10^57997-37)/357998Robert Price08/2017
92102^192657-318957996Yves Minet10/2014
92116^74525-14957992Lelio R Paula10/2012
921242^35723-4157988Norbert Schneider06/2014
9213(29*2^192625-1)/18357986Lelio R Paula01/2014
9214(3^121520-8)/384757977Lelio R Paula03/2012
9215(2^192596-5)/13957976Lelio R Paula02/2012
921610^57975+6783357976Patrick De Geest09/2013
921710^57975-4769357975Patrick De Geest09/2013
9218(F(7707)^37-F(7706)^37)/F(7705)57972Wayne Halsdorf03/2012
921914025^13592+13592^1402557970Hans Havermann04/2019
9220(29*10^57967+673)/957968Robert Price10/2017
9221(3^121492-5)/457966Lelio R Paula03/2012
92222^192549+3557964Lelio R Paula04/2011
922328799!2+257962Robert Price10/2012
9224(7*2^192534-1)/134757957Lelio R Paula01/2014
922511108^14323-14323^1110857946Norbert Schneider05/2019
92267001^15069-10057943Enzo Doria07/2012
9227L(277273)/1109092157940Donovan Johnson11/2005
9228(2^192469-1017)/3557938Lelio R Paula02/2012
92292^192457-1155*19245757936Henri Lifchitz02/2005
923012752^14111-14111^1275257934Norbert Schneider01/2019
92312^192443+138557932Lelio R Paula05/2011
9232132^27317-13157928Norbert Schneider03/2015
923341522!3-5904957912Robert Price12/2015
9234(3*2^192380-1)/16957911Lelio R Paula01/2014
92352^192339-251557900Yves Minet07/2014
92362^192303+769557889Lelio R Paula10/2012
92372^192273-595557880Lelio R Paula05/2011
92382^192257+1609557876Lelio R Paula05/2011
9239109^28401-257865Lelio R Paula10/2017
92402^192218-11186157864Enzo Doria05/2014
92412^192214-394157863Yves Minet04/2017
9242(2^192212+3)/25957860Lelio R Paula02/2012
9243(3^121270+8)/15593975357853Lelio R Paula03/2012
924480^30393-7957841Norbert Schneider03/2015
924520^44455-312357838Enzo Doria03/2013
92462^192122-19557835Lelio R Paula04/2011
9247(29*10^57834+91)/357835Robert Price03/2016
92488*6^74306+557823Lelio R Paula09/2014
9249(39^36341-1)/3857820Robert Price04/2012
92502^192037-11180557809Enzo Doria05/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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